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Contents

Review of Geometry I

Review Test

Table of Contents

Further Reading

What is the sum of four angles if two are complementary and two are supplementary?

How many noncolinear points are required to determine a plane?

How many dimensions are spanned by intersecting lines?

How many times can two lines intersect?

When is a line l perpendicular to a plane?

Which of the following figures is two-dimensional?

Which of the following angles must be an exterior angle?

Adjacent angles can be all but which of the following?

When two lines intersect, they form two pairs of what?

Angles ABC and DBE are which of the following?

Figure 1

There exists a line l and two distinct points not on l. How many lines parallel to l can be drawn containing those two points?

Given that lines l and m are parallel, what is the measure of angle 1?

Figure 2

When a transversal cuts three parallel lines, how many pairs of supplementary angles are formed?

If line l bisects angle ABC, what is the measure of angle 1?

Figure 3

The distance from a point to a line is what?

How many lines can be drawn that are oblique to a given line?

What can you conclude about two lines if the pairs of vertical angles created at their intersection are supplementary?

How many midpoints does a segment have?

When a straight angle is bisected, two angles are formed. What can be said about these angles?

If a right angle is bisected, and one of the new angles formed by the bisector is trisected, what is the measure of one of the three newest angles?

If the starting point of a curve is the same as its ending point, what is the curve called?

The following figure is which of the following?

Figure 4

What is the greatest number of interior diagonals a concave pentagon can have?

If a quadrilateral and a traingle share one side, what is the name of the polygon created by their union?

If the sum of the exterior angles of a polygon equals 360 degrees, how many sides does the polygon have?

Which of the following polygons is always convex?

How many triangles must be combined to assemble a heptagon?

If the interior angles of a polygon sum to 720 degrees, how many vertices does that polygon have?

A rectangle is an example of what?

Given that the quadrilateral pictured is a parallelogram, what is the measure of angle 1?

Figure 5

Given that the quadrilateral pictured is a parallelogram, what is the measure of angle 2?

Figure 6

What polygon has 540 degrees of interior angles and 14 diagonals?

If the sum of the lengths of the bases of a trapezoid is 12, what is the length of its median?

If a central angle is 35 degrees, what is the measure of the major arc whose endpoints are the intersection points of the central angle and the circle?

The radius of a circle is 14. How long is the chord whose endpoints are the same as the endpoints of a 180 degree arc?

If a sector is partially bound by the diameter of a circle, what is the measure of the arc that completes the boundary of the sector?

Which of the following sets of figures do not determine a circle?

If a secant line contains the center of a circle as well as the midpoint of a chord of the circle, and these two points are different, what is the relationship between the secant line and the chord?

The angle created by a tangent line and the radius of a circle whose endpoint is the point of tangency is bisected. What is the measure of the two new angles created?

A hexagon is circumscribed about a circle. How many radii can be drawn that are perpendicular to a side of the hexagon?

How many curves exist in a surface?

The bases of a prism are octagons. How many lateral edges are there in the prism?

The lateral faces of a prism could be which of the following?

If planes are oblique, what is their intersection?

Which of the following is not necessarily a convex simple closed surface?

At how many points can a line and a surface intersect?

What is the least number of polygons needed to form the surface of a polyhedron?

When does the altitude of a pyramid lie within one of the faces of the pyramid?

When are two planes perpendicular?

When spheres intersect one another, their intersection could be

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